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120104002200 = 233527132718117
BaseRepresentation
bin110111111011011000…
…0011010001010011000
3102111000020212110200210
41233312300122022120
53431433111032300
6131101445331120
711451201113550
oct1576660321230
9374006773623
10120104002200
1146a3263a556
121b33a706aa0
13b4308cc730
145b5509a160
1531ce19b050
hex1bf6c1a298

120104002200 has 384 divisors, whose sum is σ = 459990558720. Its totient is φ = 25244006400.

The previous prime is 120104002199. The next prime is 120104002223. The reversal of 120104002200 is 2200401021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14792542 + ... + 14800658.

It is an arithmetic number, because the mean of its divisors is an integer number (1197892080).

Almost surely, 2120104002200 is an apocalyptic number.

120104002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120104002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229995279360).

120104002200 is an abundant number, since it is smaller than the sum of its proper divisors (339886556520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120104002200 is a wasteful number, since it uses less digits than its factorization.

120104002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8427 (or 8418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120104002200 its reverse (2200401021), we get a palindrome (122304403221).

The spelling of 120104002200 in words is "one hundred twenty billion, one hundred four million, two thousand, two hundred".